2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140983We extend a recent result of Khalfalah and Szemeredi to the polynomials of prime variables.This is a very preliminary draft, and maybe contains some minor mistakesNumber TheoryCombinatorics11P32; 05D99; 11P55Two addition theorems on polynomials of prime variablestext